The right to privacy is dead now. You don't get to torch the entire forest and say "oh, but I don't want THAT tree to burn." Every legal scholar worth a shit reads Alito's opinion the same way -- his "but abortion is different" statement is meaningless. The reasoning of the court functionally voids the right to privacy that is the basis of Obergefell, Lawrence, and Griswold. States can and will act contrary to those holdings in multiple respects, and they will prevail before this SCOTUS.
Likewise, if/when the GOP takes control of Congress and the WH, they will pass federal laws doing similar things, and those laws will likewise prevail before this SCOTUS. You don't get to order your destruction of individual rights a la carte. You have to choke down the whole buffet, and it's full of shit sickening enough to make Shoney's blush. You get a world that looks a whole lot like the pre-14th Amendment landscape -- Dred Scott, Fugitive Slave Acts, all that shit. States can and will prosecute citizens for traveling to another state to get an abortion, get birth control, etc. Your California same-sex marriage? It will no longer be recognized in Texas. Texas will not only refuse to recognize same-sex relationships, it will ban companies from providing benefits to same-sex couples. We don't have to guess about any of these things. States have already done all of these things before, and/or stated their desire to do them again.